680976875520 has 960 divisors, whose sum is σ = 2578464351540. Its totient is φ = 171907743744.

The previous prime is 680976875483. The next prime is 680976875561. The reversal of 680976875520 is 25578679086.

680976875520 is a `hidden beast` number, since 6 + 8 + 0 + 9 + 76 + 8 + 7 + 552 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 674658533376 + 6318342144 = 821376^2 + 79488^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7020380112 + ... + 7020380208.

Almost surely, 2^680976875520 is an apocalyptic number.

680976875520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680976875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289232175770).

680976875520 is an abundant number, since it is smaller than the sum of its proper divisors (1897487476020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

680976875520 is an frugal number, since it uses more digits than its factorization.

680976875520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 680976875520 in words is "six hundred eighty billion, nine hundred seventy-six million, eight hundred seventy-five thousand, five hundred twenty".